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14122220430340 = 22511241142332397
BaseRepresentation
bin1100110110000001010111…
…1011101010010000000100
31212000001220211020010001201
43031200111323222100010
53322334301412232330
650011354123032244
72655203534022601
oct315402573522004
955001824203051
1014122220430340
1145552222a3a00
121700b9306b684
137b5948173c09
1436b73a64d6a8
15197540ca8eca
hexcd815eea404

14122220430340 has 72 divisors (see below), whose sum is σ = 33392888559576. Its totient is φ = 5010100339200.

The previous prime is 14122220430293. The next prime is 14122220430359. The reversal of 14122220430340 is 4303402222141.

It can be written as a sum of positive squares in 4 ways, for example, as 440492380416 + 13681728049924 = 663696^2 + 3698882^2 .

It is a super-2 number, since 2×141222204303402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14122220430299 and 14122220430308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71066979 + ... + 71265418.

It is an arithmetic number, because the mean of its divisors is an integer number (463790118883).

Almost surely, 214122220430340 is an apocalyptic number.

14122220430340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14122220430340 is an abundant number, since it is smaller than the sum of its proper divisors (19270668129236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14122220430340 is a wasteful number, since it uses less digits than its factorization.

14122220430340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142332469 (or 142332456 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 14122220430340 its reverse (4303402222141), we get a palindrome (18425622652481).

The spelling of 14122220430340 in words is "fourteen trillion, one hundred twenty-two billion, two hundred twenty million, four hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 121 164 205 220 242 410 451 484 605 820 902 1210 1804 2255 2420 4510 4961 9020 9922 19844 24805 49610 99220 142332397 284664794 569329588 711661985 1423323970 1565656367 2846647940 3131312734 5835628277 6262625468 7828281835 11671256554 15656563670 17222220037 23342513108 29178141385 31313127340 34444440074 58356282770 64191911047 68888880148 86111100185 116712565540 128383822094 172222200370 256767644188 320959555235 344444400740 641919110470 706111021517 1283838220940 1412222043034 2824444086068 3530555107585 7061110215170 14122220430340